Since A‘(-1,1) is on the line y=-x, reflecting it about the line doesn't change its coordinate, so A's coordinate is (-1,1). Reflecting B'(-2,1) about y=-x switches both the sign and the number of x and y, so B=(-1,2), and C'(-1,0) becomes C(0,1). Drawing out the graph with the points and the line helps.

4 0

3 years ago

Suppose the diameter of a circle is 12. What is its area?

Marat540 [252]

The area of a circle = Pi(3.141592) x R (radius-half of diameter)^2
A=113.1

3 0

3 years ago

A direct mail appeal for contributions from a university's alumni is considered effective if more than 15% of the alumni provide

Ymorist [56]

Answer:

We want to verify if the true proportion of the alumni provide monetary contributions is higher than 0.15 (Alternative hypothesis), the system of hypothesis are.:

Null hypothesis: $p \leq 0.15$

Alternative hypothesis: $p > 0.15$

And the best answer for this case would be:

Ha: p > 0.15

Step-by-step explanation:

Information given

n=250 represent the random sample taken

X=40 represent the number of people on the alumni mailing list

$\hat p=\frac{40}{250}=0.16$ estimated proportion of people on the alumni mailing list

$p_o=0.15$ is the value to verify

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to verify if the true proportion of the alumni provide monetary contributions is higher than 0.15 (Alternative hypothesis), the system of hypothesis are.:

Null hypothesis: $p \leq 0.15$

Alternative hypothesis: $p > 0.15$

And the best answer for this case would be:

Ha: p > 0.15

3 0

3 years ago

There are 12 boys and 20 students. What is the ratio of girls to boys​

There are 12 boys and 20 students. What is the ratio of girls to boys